Aball is dropped from a certain height. the function below represents the height f(n), in feet, to which the ball bounces at the nth bounce: f(n) = 9(0.7)n what does the number 9 in the function represent?

9 represents the initial height from which the ball was dropped

Step-by-step explanation:

Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

The general formula for the geometric progression modelling this scenario is:

Here,

represents the initial height i.e. the height from which the object was dropped.

r represents the percentage the object covers with respect to the previous bounce.

Comparing the given scenario with general equation, we can write:

= 9

r = 0.7 = 70%

i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.

17. 1/3 × 1/2 × 1/2 = 1/12
18. 1/3 × 1 × 1/2 = 1/6
19. 1/3 × 1/2 × 1/2 = 1/12
20. 2/3 ×1/2 × 1 = 1/3
21. 1/2 × 1/4 × 1/3 = 1/24
22. 1/2 × 3/4 × 2/3 = 1/4
( I guess u know how to construct the tree diagram , so I will leave this diagram to u bcuz I couldn't construct it through typing method : ) )